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The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.
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For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.
<em>Alternate Interpretation</em>
If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.
Using linear and composite functions, it is found that the x-intercept of g(h(x)) is , given by option B.
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The equation of a line is:
In which:
- m is the slope.
- b is the y-intercept.
Function g:
- Two of the points are (-6,16) and (-4,10).
- The slope is given by <u>change in y divided by change in x</u>, thus:
Thus:
Point (-4,10) means that when , and we use this to find b, so:
Then
Function h:
- Two of the points are (-6,-11) and (-4,-7).
- The slope is:
Thus:
Point (-4,-7) means that when , and we use this to find b, so:
Then
The composite function is:
The x-intercept it the zero of the function, thus:
Which is option B.
A similar problem is given at brainly.com/question/21010520